共查询到20条相似文献,搜索用时 46 毫秒
1.
Bessem Samet Calogero Vetro 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(12):4260-4268
In this paper, we establish two coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces. The theorems presented extend some results due to ?iri? (2009) [3]. An example is given to illustrate the usability of our results. 相似文献
2.
M. Abbas 《Applied mathematics and computation》2010,217(1):195-5936
In this paper we introduce the concept of a w-compatible mappings to obtain coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in cone metric space with a cone having non-empty interior. Coupled common fixed point theorems for such mappings are also proved. Our results generalize, extend and unify several well known comparable results in the literature. Results are supported by three examples. 相似文献
3.
Somyot Plubtieng 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(6):2896-2908
In this paper, we prove a strong convergence theorem by the hybrid method for a countable family of relatively nonexpansive mappings in a Banach space. We also establish a new control condition for the sequence of mappings {Tn} which is weaker than the control condition in Lemma 3.1 of Aoyama et al. [K. Aoyama, Y. Kimura, W. Takahashi and M. Toyoda, Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space, Nonlinear Anal. 67 (2007) 2350-2360]. Moreover, we apply our results for finding a common fixed point of two relatively nonexpansive mappings in a Banach space and an element of the set of solutions of an equilibrium problem in a Banach space, respectively. Our results are applicable to a wide class of mappings. 相似文献
4.
Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces 总被引:1,自引:0,他引:1
V. Lakshmikantham Ljubomir iri 《Nonlinear Analysis: Theory, Methods & Applications》2009,70(12):4341-4349
We introduce the concept of a mixed g-monotone mapping and prove coupled coincidence and coupled common fixed point theorems for such nonlinear contractive mappings in partially ordered complete metric spaces. Presented theorems are generalizations of the recent fixed point theorems due to Bhaskar and Lakshmikantham [T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379–1393] and include several recent developments. 相似文献
5.
Zoran D. Mitrovi? 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(11):4049-926
We prove a coupled best approximations theorem in normed spaces. Also, we derive the results on coupled coincidence points and coupled fixed points, which were introduced by Lakshmikantham and ?iri? [V. Lakshmikantham, LJ. ?iri?, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. TMA, 70 (2009) 4341-4349]. 相似文献
6.
In this paper, we introduce a new extension in the subject of fuzzy metric, called controlled fuzzy metric space. This notion is a generalization of fuzzy b‐metric space. Also, we prove a Banach‐type fixed point theorem and a new fixed point theorem for some self‐mappings satisfying fuzzy ψ ‐contraction condition that is more general than existing theorems. Furthermore, we establish some examples about our main results. 相似文献
7.
王云杰 《数学物理学报(A辑)》2014,34(1):62-69
该文证明了偏距离空间上满足广义非线性压缩型的四个映射的公共不动点定理.最后,举例说明了该文压缩条件确实改进了目前一些文献中压缩条件. 相似文献
8.
Mayumi Hojo Imchit Termwuttipong 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(4):2166-2176
In this paper, we prove a strong convergence theorem of Halpern’s type for 2-generalized hybrid mappings in a Hilbert space. We also deal with strong convergence theorems by hybrid methods for these nonlinear mappings in a Hilbert space. 相似文献
9.
Marin Borcut Vasile Berinde 《Applied mathematics and computation》2012,218(10):5929-5936
In this paper we introduce the concept of a tripled coincidence point for a pair of nonlinear contractive mappings F : X3 → X and g : X → X. The obtained results extend recent coincidence theorems due to ?iri? and Lakshmikantham [V. Lakshmikantham, L. ?iri?, L., Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009) 4341-4349]. 相似文献
10.
介绍了我们在不动点定理方面的一些最新结果,包括:拓扑空间中Meir-Keeler型映象的不动点定理,有序拓扑空间中增算子和多值增映射的不动点定理,拓扑空间中压缩映象的不动点定理和多值映象的公共不动点定理。甚至在通常的度量空间,所有这些结果也是新的。 相似文献
11.
Lech Pasicki 《Topology and its Applications》2011,158(3):479-483
The paper contains an elegant extension of the Nadler fixed point theorem for multivalued contractions (see Theorem 21). It is based on a new idea of the α-step mappings (see Definition 17) being more efficient than α-contractions. In the present paper this theorem is a tool in proving some fixed point theorems for “nonexpansive” mappings in the bead spaces (metric spaces that, roughly speaking, are modelled after convex sets in uniformly convex spaces). More precisely the mappings are nonexpansive on a set with respect to only one point - the centre of this set (see condition (4)). The results are pretty general. At first we assume that the value of the mapping under consideration at this central point looks “sharp” (see Definition 6). This idea leads to a group of theorems (based on Theorem 7). Their proofs are compact and the theorems, in particular, are natural extensions of the classical results for (usual) nonexpansive mappings. In the second part we apply the idea of Lim to investigate the regular sequences and here the proofs are based on our extension of Nadler's Theorem. In consequence we obtain some fixed point theorems that generalise the classical Lim Theorem for multivalued nonexpansive mappings (see e.g. Theorem 26). 相似文献
12.
W. Khuangsatung 《Applicable analysis》2018,97(7):1172-1186
In this paper, we prove a strong convergence theorem for finding a common element of the set of fixed points of a finite family of nonexpansive mappings and the set of solutions of a finite family of variational inclusion problems in Hilbert spaces. Moreover, we utilize our main result to fixed point problems of various nonlinear mappings and the set of solutions of variational inclusion problems. 相似文献
13.
We study the existence of best proximity points for single-valued non-self mappings. Also, we prove a best proximity point theorem for set-valued non-self mappings in metric spaces with an appropriate geometric property. Examples are given to support the usability of our results. 相似文献
14.
S. Dhompongsa A. Kaewkhao B. Panyanak 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(2):459-468
We prove a strong convergence theorem for multivalued nonexpansive mappings which includes Kirk’s convergence theorem on CAT(0) spaces. The theorem properly contains a result of Jung for Hilbert spaces. We then apply the result to approximate a common fixed point of a countable family of single-valued nonexpansive mappings and a compact valued nonexpansive mapping. 相似文献
15.
Moosa GABELEH 《数学物理学报(B辑英文版)》2014,(5):1661-1669
We study the existence of best proximity points for single-valued non-self map-pings. Also, we prove a best proximity point theorem for set-valued non-self mappings in metric spaces with an appropriate geometric property. Examples are given to support the usability of our results. 相似文献
16.
In this paper, we obtain an existence theorem for single-valued monotone operators in a reflexive Banach space. Using this
result, we prove a fixed point theorem for nonexpansive mappings in a Hilbert space and an existence theorem for maximal monotone
operators in a Banach space.
Received: 3 July 2006 Revised: 15 January 2007 相似文献
17.
Xing-Hua Zhu Jian-Zhong Xiao 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(16):5475-5479
In the paper “Coupled fixed point theorems for contractions in fuzzy metric spaces” by Sedghi et al. [S. Sedghi, I. Altun, N. Shobec, Coupled fixed point theorems for contractions in fuzzy metric spaces, Nonlinear Analysis 72 (2010) 1298-1304], a coupled common fixed point result was presented. However, our purpose is to show that this result and its proof are false. We give a counterexample and also explain how to correct this result. As a modification, we state and prove a coupled fixed point theorem under some hypotheses of fuzzy metric and t-norm. 相似文献
18.
Wei-Shih Du 《Topology and its Applications》2012,159(1):49-56
Several characterizations of MT-functions are first given in this paper. Applying the characterizations of MT-functions, we establish some existence theorems for coincidence point and fixed point in complete metric spaces. From these results, we can obtain new generalizations of Berinde-Berinde?s fixed point theorem and Mizoguchi-Takahashi?s fixed point theorem for nonlinear multivalued contractive maps. Our results generalize and improve some main results in the literature. 相似文献
19.
Shih-sen Chang H.W. Joseph Lee 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(7):2260-6497
The purpose of this paper is to prove by using a new hybrid method a strong convergence theorem for finding a common element of the set of solutions for a generalized equilibrium problem, the set of solutions for a variational inequality problem and the set of common fixed points for a pair of relatively nonexpansive mappings in a Banach space. As applications, we utilize our results to obtain some new results for finding a solution of an equilibrium problem, a fixed point problem and a common zero-point problem for maximal monotone mappings in Banach spaces. 相似文献
20.
Nguyen Van Luong Nguyen Xuan Thuan 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(3):983-992
In this paper, we prove some coupled fixed point theorems for mappings having a mixed monotone property in partially ordered metric spaces. The main results of this paper are generalizations of the main results of Bhaskar and Lakshmikantham [T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379-1393]. As an application, we discuss the existence and uniqueness for a solution of a nonlinear integral equation. 相似文献